Properties of the Number 8263

Eight Thousand Two Hundred Sixty-Three

Basics

Value: 8262 → 8263 → 8264

Parity: odd

Prime: Yes

Previous Prime: 8243

Next Prime: 8269

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 8263

Divisors: 1, 8263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001000111

Octal: 20107

Duodecimal: 4947

Hexadecimal: 2047

Square: 68277169

Square Root: 90.90104509850258

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Spt function: total number of smallest parts (counted with multiplicity) in all partitions of n. A92269

Primes such that the sum of the predecessor and successor primes is divisible by 43. A113158

Number of integer partitions of n whose distinct consecutive subsequences have different sums. A325769

a(n) = prime(n*(n+1)/2 + 1). A78721

Mother primes of order 8. A136067

Primes p such that p-1 and p+1 are both divisible by cubes (other than 1). A86708

Primes for which the weight as defined in A117078 is 23. A119504

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..k+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A232831

Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) = sum of the k-th powers of multinomials M(n; μ), where μ ranges over all compositions of n. A326322

a(0) = 1; a(n) = ∑_k=0..n-1 binomial(n,k)⁵ * a(k). A336197